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Hatcher-Algebraic-Topology
· Problem 4.1.20
Homotopy Theory
Mathematics — Graph Theory · finiteness-homotopy-classes
Problem
Show that
[
X
,
Y
]
[X, Y]
[
X
,
Y
]
is finite if
X
X
X
is a finite connected CW complex and
π
i
(
Y
)
\pi_i(Y)
π
i
(
Y
)
is finite for
i
≤
dim
X
i \leq \dim X
i
≤
dim
X
.
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